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IB

IB Mathematics Analysis & Approaches SL
Differentiation

Focuses on concepts and techniques related to differentiation, integration and kinematics.

Differentiation

Focuses on the nature, execution, and applications of differentiation.

The Gradient of a Curve

Explores the concept of finding the gradient of a curve, both by consideration of limits and by applying formulae for differentiation functions.


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Differentiation Rules

Explores the use of the chain rule, the product rule and the quotient rule when differentiating composite functions, products and quotients.


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Tangents and Normals

Explores the concept of gradients and equations of tangents and normals to a curve.


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Maxima, Minima and the Second Derivative

Explores stationary points, points of inflexion and concavity of a function.


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Increasing and Decreasing Functions

Explores the notion of when a function is increasing or decreasing and how we can determine domains in which these occur.


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Optimization

Explores optimization. Typical applications include maximizing volumes or profits and minimizing areas or costs.


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Practice and Test Yourself

Practice with some culminating questions and test yourself on a quick assessment.


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Frequently Asked Questions

The IB Math Analysis and Approaches (AA) SL Bootcamps are sequenced, intensive workshops designed specifically for direct revision of the most important concepts, techniques, and skills required for success on the IB exams. Each AA Standard Level Bootcamp centers a theme or topic crucial to earning a 7, structured around problems carefully crafted and explained by IB Mathematics teachers and examiners for students looking to take that final step in their revision process. The IB Mathematics AA SL Bootcamps are accompanied by culminating questions and self-evaluation tests, the perfect tool to determine what revision is required.

The AA SL Bootcamps are designed to help IB students master content using AA SL exam style questions in workshops on a specific topic or concept. Therefore, a good place to start is by identifying a subtopic that you would like to practice and improve in and go to that area of the AA SL Bootcamps. For example, if you want to prepare for AA SL Optimization examination questions, you can go to AA SL Topic 5 (Calculus) Bootcamp, and select Differentiation, then Optimization. On this page there is a carefully sequenced unit covering IB Math AA SL Optimization, progressing through an introduction, workshop and conclusion. If you’re just getting started with your revision, you could start with the introduction to review the main concepts, or if you already have some confidence, you could go straight to the workshop.

The AA SL Bootcamps are perfect for revising a particular topic or concept, in-depth. For example, if you wanted to make sure you have mastered Kinematics, this section of the AA SL Topic 5 (Calculus) Bootcamp contains explanations of Displacement, Velocity and Acceleration graphs, worked examples, introductory questions, exam style questions with written worked solutions, hint videos and solution videos. You can then test yourself with a series of culminating questions and a self-evaluation test.

This is not the aim of the AA SL Bootcamp section on Revision Village. The AA SL Bootcamps are designed to help you take that final step between learning and practising the course content, to putting it all together to answer examination questions. The AA SL Bootcamp section on Revision Village aims to support students’ revision process by providing an easy way to comprehensively recap the concepts that occur frequently on Analysis and Approaches Standard Level examinations